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625784640 = 263513411223
BaseRepresentation
bin100101010011001…
…011011101000000
31121121112011010220
4211103023131000
52240200102030
6142032423040
721336040005
oct4523133500
91547464126
10625784640
112a126a298
121556a7a80
139c855c90
145d1798ac
1539e12a10
hex254cb740

625784640 has 224 divisors, whose sum is σ = 2193682176. Its totient is φ = 150159360.

The previous prime is 625784629. The next prime is 625784647. The reversal of 625784640 is 46487526.

It is a junction number, because it is equal to n+sod(n) for n = 625784592 and 625784601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (625784647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 511069 + ... + 512291.

It is an arithmetic number, because the mean of its divisors is an integer number (9793224).

Almost surely, 2625784640 is an apocalyptic number.

625784640 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 625784640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1096841088).

625784640 is an abundant number, since it is smaller than the sum of its proper divisors (1567897536).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

625784640 is a wasteful number, since it uses less digits than its factorization.

625784640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1297 (or 1287 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 42.

The square root of 625784640 is about 25015.6878778098. The cubic root of 625784640 is about 855.3456145234.

The spelling of 625784640 in words is "six hundred twenty-five million, seven hundred eighty-four thousand, six hundred forty".